Question

State whether the following will have a terminating decimal expansion or a non-terminating repeating decimal.
a. 13/3125
b. 17/8
c. 6/15
d. 35/150​

Answer 1

Answer:

3125 = 5^5 the denominator is the form of 2^m × 5^n

terminating

8 = 2 ^3 the denominator is the form of 2^m × 5^n terminating

15 = 5 × 3 it is not in the form of

2^m × 5^n so non terminating repeating

150 = 5^2 × 2 × 3

non terminating repeating decimal expansion .

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Answer 2

Answer:

It will have terminating decimal expansion.

Since,17/8

Denominator=8,

8=2*2*2*50

8=23*50

Since,the denominator can be expressed in terms of 2n and 5m

Therefore it is a terminating decimal.